9 The coordinates of \(A\) are \(( - 3,2 )\) and the coordinates of \(C\) are (5,6). The mid-point of \(A C\) is \(M\) and the perpendicular bisector of \(A C\) cuts the \(x\)-axis at \(B\).
- Find the equation of \(M B\) and the coordinates of \(B\).
- Show that \(A B\) is perpendicular to \(B C\).
- Given that \(A B C D\) is a square, find the coordinates of \(D\) and the length of \(A D\).